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Finding the Third Proportional to 1,053,330 and 1,589,289

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Solution

The third proportional to 1,053,330 and 1,589,289 is: 2,397,956.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,053,330 : 1,589,289 = 1,589,289 : x
  2. Step 2: Convert to fraction form
    1,053,330/1,589,289 = 1,589,289/x
  3. Step 3: Cross multiply
    1,053,330x = 1,589,289 × 1,589,289
  4. Step 4: Simplify right side
    1,053,330x = 2,525,839,525,521
  5. Step 5: Solve for x
    x = 2,525,839,525,521/1,053,330
  6. Step 6: Final answer
    x = 2,397,956.51

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.